Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 182, 278, 50, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 278, 50, 667 is 1
GCD(182, 278, 50, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 278, 50, 667 is 1
GCD(182, 278, 50, 667) = 1
Given Input numbers are 182, 278, 50, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 182, 278, 50, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 278, 50, 667 is 1.
Therefore, GCD of numbers 182, 278, 50, 667 is 1
Given Input Data is 182, 278, 50, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 278 is 2 x 139
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 667 is 23 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(182, 278) = 25298
GCD(182, 278) = ( 182 x 278 ) / 25298
GCD(182, 278) = 50596 / 25298
GCD(182, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
GCD(2, 667) = 1334 / 1334
GCD(2, 667) = 1
GCD of 182, 278, 50, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 278, 50, 667?
GCD of 182, 278, 50, 667 is 1
2. Where do I get the detailed procedure to find GCD of 182, 278, 50, 667?
You can find a detailed procedure to find GCD of 182, 278, 50, 667 on our page.
3. How to find GCD of 182, 278, 50, 667 on a calculator?
You can find the GCD of 182, 278, 50, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.